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please help me with this problem..

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
by AdityaS » Thu Sep 16, 2010 10:10 am
Jacob marks his goods up by 75% and then offers a discount on the marked price. The profit that he makes after offering the discount is 40%. What % discount did Jacob offer?
A. 35%

B. 25%

C. 75%

D. 20%

E. 15%
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Source: — Quantitative Reasoning |

by Tani » Thu Sep 16, 2010 9:27 pm
Assume Jacob pays $100 for his merchandise. He marks it up to $175. He then puts a discount of x% on the $175 price. We are told his profit is 40% so he must have sold the product at $140 (assuming this problem is computing "profit" against cost, which is not the way it is usually done, but computing profit against selling price would not produce any of the answers listed). That means his discount was $35 on a selling price of $175, or 20%.
Tani Wolff
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